Acronym naquitant Name penteractiquasitruncated penteractitriacontaditeron Field of sections ` ©` Circumradius sqrt[13-4 sqrt(2)]/2 = 1.354911 Vertex figure ` ©` Colonel of regiment (is itself locally convex – no other uniform polyteral members) Externallinks

As abstract polytope naquitant is isomorphic to nottant, thereby interchanging the roles of octagrams and octagons, resp. replacing quith by tic, resp. quitit by tat, and thaquitoth by thatoth.

Incidence matrix according to Dynkin symbol

```o3o3x3x4x4/3*c

. . . . .      | 640 |   3   1   1 |   3   3   3  1 |   1   3  3  3 |  1  1  3
---------------+-----+-------------+----------------+---------------+---------
. . x . .      |   2 | 960   *   * |   2   1   1  0 |   1   2  2  1 |  1  1  2
. . . x .      |   2 |   * 320   * |   0   3   0  1 |   0   3  0  3 |  1  0  3
. . . . x      |   2 |   *   * 320 |   0   0   3  1 |   0   0  3  3 |  0  1  3
---------------+-----+-------------+----------------+---------------+---------
. o3x . .      |   3 |   3   0   0 | 640   *   *  * |   1   1  1  0 |  1  1  1
. . x3x .      |   6 |   3   3   0 |   * 320   *  * |   0   2  0  1 |  1  0  2
. . x . x4/3*c |   8 |   4   0   4 |   *   * 240  * |   0   0  2  1 |  0  1  2
. . . x4x      |   8 |   0   4   4 |   *   *   * 80 |   0   0  0  3 |  0  0  3
---------------+-----+-------------+----------------+---------------+---------
o3o3x . .      ♦   4 |   6   0   0 |   4   0   0  0 | 160   *  *  * |  1  1  0
. o3x3x .      ♦  12 |  12   6   0 |   4   4   0  0 |   * 160  *  * |  1  0  1
. o3x . x4/3*c ♦  24 |  24   0  12 |   8   0   6  0 |   *   * 80  * |  0  1  1
. . x3x4x4/3*c ♦  48 |  24  24  24 |   0   8   6  6 |   *   *  * 40 |  0  0  2
---------------+-----+-------------+----------------+---------------+---------
o3o3x3x .      ♦  20 |  30  10   0 |  20  10   0  0 |   5   5  0  0 | 32  *  *
o3o3x . x4/3*c ♦  64 |  96   0  32 |  64   0  24  0 |  16   0  8  0 |  * 10  *
. o3x3x4x4/3*c ♦ 192 | 192  96  96 |  64  64  48 24 |   0  16  8  8 |  *  * 10
```